3. Use Newton the forward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. f (-) if ƒ(-0.75) = –0.07181250, ƒ(-0.5) = -0.02475000, ƒ(-0.25) = 0.33493750, f(0) = 1.10100000 b. f(0.25) if ƒ (0.1) = –0.62049958, ƒ (0.2) = –0.28398668, ƒ (0.3) = 0.00660095, ƒ (0.4) = 0.24842440
3. Use Newton the forward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. f (-) if ƒ(-0.75) = –0.07181250, ƒ(-0.5) = -0.02475000, ƒ(-0.25) = 0.33493750, f(0) = 1.10100000 b. f(0.25) if ƒ (0.1) = –0.62049958, ƒ (0.2) = –0.28398668, ƒ (0.3) = 0.00660095, ƒ (0.4) = 0.24842440
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Use Newton the forward-difference formula to construct interpolating polynomials of degree one,
two, and three for the following data. Approximate the specified value using each of the polynomials.
f (-}) if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750,
f(0) = 1.10100000
а.
b.
f(0.25) if f (0.1) = –0.62049958, f (0.2) = -0.28398668, ƒ (0.3) = 0.00660095, ƒ (0.4) =
0.24842440
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